Santa Klas

Santa Klas is in trouble! The ACM (Aerodynamic Christmas
Machines) has called you in to be their subject matter expert
for the current situation.

Santa Klas recently got himself a new bunch of reindeers,
that would boost his speed even more while travelling across
the sky. The reindeers even came with an autopilot, so Santa
Klas calmly took off into the sky, adjusted his heading,
activated his autopilot and fell asleep.

Santa Klas has been playing too much flight simulator
computer games lately, and he is certain that when the
autopilot is activated, the ship he is flying in will hold
altitude and course. This is not the case. The autopilot on his
new reindeers only guarantee that the heading is the same, and
the vertical angle is kept the same. This means that if Santa
Klas’ ship is currently heading for the ground, he will crash
if he doesn’t wake up soon enough! If the ship isn’t pointing
to the ground, Santa Klas will exit the atmosphere. But that’s
fine, he’s done that before.

The ACM has given you Santa Klas’ angle between his course
and the ground and altitude in meters. Help them determine how
much time they have to wake him up, or if Santa Klas will exit
the atmosphere. Santa Klas always flies with a speed of one
meter per second (yeah, it takes him a while to round the
earth).

Input

The only line of input contains two integers $1 \le H \le 10\, 000 , 0 \le v \le
359$, Santa Klas’ current altitude and his current angle
in degrees from the horizon, i.e. if $v = 0$ then Santa Klas is flying with
constant altitude (since the earth is flat), and is therefore
safe. If $v = 90$, then
Santa Klas is heading straight for the stars.

Output

Output should consist of one single integer: the number of
whole seconds that the ACM have to safely wake Santa Klas up,
so that he can adjust his course. You may assume that Santa
Klas is infinitely fast at adjusting it after waking up, as the
flight simulator professional he is. If Santa Klas is not
heading for the ground, just print the word "safe" on a single line instead.